Brian, could this bow be lemonwood. I didn't notice if it has a sapwood back or just the backing over the heartwood. If it does have white sapwood it is probably yew but if not it could easily be lemonwood which was a very common bow wood back in the day. Can you see any grain along the sides? Yew would have visible grain lines, lemonwood, being a tropical hardwood, probably not.
I'd say probable anywhere between the 1920s to the 1940s.
If you want to shoot the bow you will have to reeducate the wood to bend and recover. Start out with a very low brace, maybe 1" to 2" and let it sit for a while like that then slowly draw it a few inches and let it down. Do this for a while then draw a little farther. Slowly increase the brace height and exercise until at full brace then let it sit for a while. I think I'd do this over a period of a few days, unbracing at the end of each session. It also looked like one of the horn nocks has a crack in it. I'd be very careful about that, maybe replace it before using.
The other option is to leave it just as it is and enjoy it as a part of archery history.
Are there any markings on the bow itself? They should be near the handle on the back, belly or sides.